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Finding the Third Proportional to 280,496.25 and 613,571.63

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Solution

The third proportional to 280,496.25 and 613,571.63 is: 1,342,157.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    280,496.25 : 613,571.63 = 613,571.63 : x
  2. Step 2: Convert to fraction form
    280,496.25/613,571.63 = 613,571.63/x
  3. Step 3: Cross multiply
    280,496.25x = 613,571.63 × 613,571.63
  4. Step 4: Simplify right side
    280,496.25x = 376,470,139,005.14
  5. Step 5: Solve for x
    x = 376,470,139,005.14/280,496.25
  6. Step 6: Final answer
    x = 1,342,157.48

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.